A linear programming approach to approximating infinite time reachable sets of strictly stable linear control systems

Titelangaben

Ernst, Andreas ; Grüne, Lars ; Rieger, Janosch:
A linear programming approach to approximating infinite time reachable sets of strictly stable linear control systems.
Melbourne , 2019 . - 15 S.

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Abstract

We develop a new numerical method for approximating infinite time reachable sets of strictly stable linear control systems. By solving a linear program with a constraint that incorporates the system dynamics, we compute a polytope with fixed facet normals as an outer approximation of the limit set. In particular, this approach does not rely on forward iteration of finite-time reachable sets.